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Carlos uses a rope to pull his car 30 m to a parking lot because it ran out of gas. If Carlos exerts 2,000 N of force to pull the rope, and the rope is at an angle of 15° to the road, how much work did he do? Round your answer to two significant figures.

2 Answers

2 votes
5.8 × 104 J
i already checked it on edge

User Zoleas
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5.9k points
3 votes

Answer:
5.8\cdot 10^4 J

Step-by-step explanation:

The work done by Carlos is given by:


W=Fdcos\theta

where

F is the force exerted by Carlos

d is the distance through which the car has been pulled


\theta is the angle between the direction of the force and the motion of the car

In this problem,
F=2000 N, d=30 m, \theta=15^(\circ). By substituting these numbers into the formula, we find


W=(2,000 N)(30 m)(cos 15^(\circ))=57,956 J=5.8\cdot 10^4 J

User Chemise
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6.5k points